Hitchin integrable systems, deformations of spectral curves, and KP-type equations
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Publication:3086857
zbMath1233.14026arXiv0801.0015MaRDI QIDQ3086857
Andrew R. Hodge, Motohico Mulase
Publication date: 30 March 2011
Full work available at URL: https://arxiv.org/abs/0801.0015
KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70) Vector bundles on curves and their moduli (14H60)
Related Items (6)
Infinitely many nonlocal conservation laws for the \textit{ABC} equation with \(A+B+C\neq 0\) ⋮ An invitation to 2D TQFT and quantization of Hitchin spectral curves ⋮ Quantization of spectral curves for meromorphic Higgs bundles through topological recursion ⋮ Quantum curves for Hitchin fibrations and the Eynard-Orantin theory ⋮ Interplay between opers, quantum curves, WKB analysis, and Higgs bundles ⋮ Maximal variation of curves on \(K3\) surfaces
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